 Women also wore the chaperon, a draped hat based on the hood and liripipe, and a variety of related draped and wrapped turbans.The most extravagant headdress of Burgundian fashion is the hennin, a cone or truncated-cone shaped cap with a wire frame covered in fabric and topped by a floating veil.Later hennins feature a turned-back brim, or are worn over a hood with a turned-back brim.